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Finding the Third Proportional to 362,464 and 533,024

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Solution

The third proportional to 362,464 and 533,024 is: 783,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,464 : 533,024 = 533,024 : x
  2. Step 2: Convert to fraction form
    362,464/533,024 = 533,024/x
  3. Step 3: Cross multiply
    362,464x = 533,024 × 533,024
  4. Step 4: Simplify right side
    362,464x = 284,114,584,576
  5. Step 5: Solve for x
    x = 284,114,584,576/362,464
  6. Step 6: Final answer
    x = 783,842.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.